# H∞ Measurement-feedback Tracking with Preview

### Eli Gershon

#### Abstract

Finite-horizon H∞ output-feedback tracking control for linear discrete time-varying systems is explored along with the stationary infinite-horizon case. We consider three tracking patterns depending on the nature of the reference signal i.e : whether it is perfectly known in advance, measured on-line or previewed in a fixed time-interval ahead. For each of the above three cases a solution is found where, given a specific reference signal, the controller plays against nature which chooses the initial condition and the energy-bounded disturbances. The problems are solved based on a specially devised bounded real lemma for systems with tracking signals. The finite-horizon case is extended to the stationary one where similar results are achieved.

Download#### Paper Citation

#### in Harvard Style

Gershon E. (2018). **H∞ Measurement-feedback Tracking with Preview**.In *Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-321-6, pages 325-331. DOI: 10.5220/0006853903250331

#### in Bibtex Style

@conference{icinco18,

author={Eli Gershon},

title={H∞ Measurement-feedback Tracking with Preview},

booktitle={Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2018},

pages={325-331},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006853903250331},

isbn={978-989-758-321-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - H∞ Measurement-feedback Tracking with Preview

SN - 978-989-758-321-6

AU - Gershon E.

PY - 2018

SP - 325

EP - 331

DO - 10.5220/0006853903250331